Calculate the Greatest Common Factor or GCF of 756 and 1064
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The instructions to find the GCF of 756 and 1064 are the next:
1. Decompose all numbers into prime factors
| 756 | 2 |
| 378 | 2 |
| 189 | 3 |
| 63 | 3 |
| 21 | 3 |
| 7 | 7 |
| 1 |
| 1064 | 2 |
| 532 | 2 |
| 266 | 2 |
| 133 | 7 |
| 19 | 19 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 756 | = | 22 . 33 . 7 |
| Prime factors of 1064 | = | 23 . 7 . 19 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 7
Common prime factors with the lowest exponent: 22, 71
4. Calculate the Greatest Common Factor or GCF
Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.
GCF = 22. 71 = 28
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